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AMU Medical AMU Solved Paper-1995

  • question_answer
    A body is moving under the action of two forces\[{{\overrightarrow{F}}_{1}}=2\hat{i}-5\hat{j};{{\overrightarrow{F}}_{2}}=3\hat{i}-4\hat{j}\] Its velocity will become uniform under a third force\[{{\overrightarrow{F}}_{3}}\]given by

    A)  \[5\hat{i}-\hat{j}\]

    B)  \[-5\hat{i}-\hat{j}\]

    C)  \[5\hat{i}+\hat{j}\]

    D)  \[-5\hat{i}+9\hat{j}\]

    Correct Answer: D

    Solution :

    : For uniform velocity, accleration is zero. Hence resultant force will be zero \[\therefore \] \[{{\overrightarrow{F}}_{1}}+{{\overrightarrow{F}}_{2}}+{{\overrightarrow{F}}_{3}}=0\] \[(2\hat{i}-5\hat{j})+(3\hat{i}-4\hat{j})+{{\overrightarrow{F}}_{3}}=0\] Or \[{{\overrightarrow{F}}_{3}}=(-5\hat{i}+9\hat{j})\]


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